Q.

The energy of a photon is equal to the kinetic energy of a proton. The energy of photon is E. Let λ1 and λ2 be the de Broglie wave length of the proton and photon respectively. Then λ1λ2  is proportional to

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a

E0

b

E1/2

c

E−1

d

E−2

answer is B.

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Detailed Solution

λ1=hp=h2mE and λ2=hcESo, λ1λ2∝EE⇒λ1λ2∝E1/2.
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The energy of a photon is equal to the kinetic energy of a proton. The energy of photon is E. Let λ1 and λ2 be the de Broglie wave length of the proton and photon respectively. Then λ1λ2  is proportional to